Construction - Short Problems
Folded A4
What shapes can be made by folding an A4 sheet of paper only once?
Defined Distances
Mark writes four points on a line at different lengths. What is the distance between the two points furthest apart?
Contact Circles
These four touching circles have another circle hiding amongst them...
Snail's Pace
A snail is at the corner of a cube. What proportion of the cube's surface can the snail reach within an hour?
Triangular Wheel
An equilateral triangle is rolled along a line. What is the length of the path traced out by one of its vertices?
3-sided
How many triangles can Jack draw with two sides of lengths $6$cm and $8$cm and an area of $7$cm$^2$?
Either Side
A disc with a pencil inside it is rolled around the outside and inside of a wire equilateral triangle. What shape is drawn by the pencil?
Pink and White
The white square slides once around the pink square. Through what distance does the point P on the white square move?
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Seven Squares - Group-worthy Task
Choose a couple of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?
